Cremona's table of elliptic curves

7259 = 7 · 17 · 61

Field	Data	Notes
Atkin-Lehner	7- 17- 61+	Signs for the Atkin-Lehner involutions
Class	7259c	Isogeny class
Conductor	7259	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-7259 = -1 · 7 · 17 · 61	Discriminant
Eigenvalues	-1  1  3 7- -1 -6 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1,-4]	[a1,a2,a3,a4,a6]
Generators	[5:9:1]	Generators of the group modulo torsion
j	103823/7259	j-invariant
L	3.6216004852544	L(r)(E,1)/r!
Ω	1.9952442397824	Real period
R	1.8151163717427	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	116144l1 65331p1 50813d1 123403d1	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 7259c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	1	3	-	-1	-6	-	0	4	3	-10	1	5	8	0	-8	-7	+	2	13	10	-8	-4	-10	7

---

Quadratic twists for elliptic curve 7259c1

-4	-3	-7	17
116144l1	65331p1	50813d1	123403d1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations